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3 years ago

Log5^x-log5^2=2.solve for x

1 answer:

Nookie1986 [14]3 years ago

4 0

Recall this rule: log a - log b = log (a/b).

Combine log 5^x - log 5^2 into a single log, and set your result equal to 2.
Solve for x.

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arthur walks 5/8 mi to school jonathan rides a bus 8 times that far> How far does Jonathan ride to school

AleksAgata [21]

Answer:

Step-by-step explanation:

Distance walked by Arthur = 5/8 miles

Distance ride by Jonathan = 8 times that of Arthur

it means that Distance rode on bus by Jonathan is 8 multiplied by Distance walked by Arthur

Distance rode on bus by Jonathan = 8 * Distance walked by Arthur

Distance rode on bus by Jonathan = 8 * 5/8 = 5 Miles Answer

5 0

3 years ago

Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

<em>Find the solutions of the original equation</em>

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

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4 years ago

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Convert to a scientific notation 860,000,000,000 =

valentina_108 [34]

$8\underbrace{60,000,000,000}_{\leftarrow11}=8.6\times10^{11}$

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3 years ago

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Tell whether x and y are proportional.

insens350 [35]

Pendejo Que putas es eso

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3 years ago

A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladde

uysha [10]

Answer:

we can calculate it by applying trigonometric ratios

Step-by-step explanation:

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4 years ago

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